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2007 Michell Medal Oration
F-111 Structural Integrity Support
Francis Rose
Chief Scientist, Platforms Sciences Lab, DSTO
OUTLINE
• Michell Brothers
• F-111 Sole Operator Program
• Hole Shape Optimisation
• Bonded Repair Substantiation
• Loose Ends & Acknowledgements
Anthony George Maldon Michell 1870-1959
Michell Structures
Tilting-pad Thrust-bearing
John Henry Michell 1863-1940
The Wave Resistance of a
Ship
Stress Compatibility
Equations
Michell Brothers Legacy
• Contributions to both Fluid & Solid Mechanics
• Application Driven
• Uncompromising Intellectual Integrity
& Quality of Engineering Science
“Theory is the captain; practice the soldiers”
F-111 SOLE OPERATOR PROGRAM
• Background
• Hole Shape Optimisation
• Bonded Repair Substantiation
F-111 SOP BACKGROUND
• USAF (1967-1996) & RAAF (1973-2010)
• USAF Early Retirement Announced Dec 1994
• RAAF Supportability Study 1995 – 96
• DSTO to address
• Engineering Risk
• Ageing Aircraft Risk
INNOVATIONS, ACCIDENTS & WATERSHEDS
• de Havilland Comet (1953-54)
• General Dynamics F-111 (1969)
• Aloha Airlines Boeing 737 (1988)
F-111 SWING WING MECHANISM
CRACKING IN THE WING PIVOT FITTING
Fuel Flow Vent Holes (FFVHs)
Stiffener Runouts (SROs)
Typical crack
Typical crack
Inside WPF upper plate
FUEL VENT HOLES: WEIGHT REDUCTION PROGRAM
in-service fatigue cracking
FFVH 14
FFVH 13
FFVH 11
FFVH 12
HOLE SHAPE OPTIMISATION
Initial hole
4
Optimal hole
s1
3
s1
s3
Stress
2
1
0
-1
s4
s2
-2
0
20
40
60
80
100
% arc length around boundary
•
Optimal hole characterised by (piecewise) constant hoop stress
•
Iterative boundary deformation to achieve constant hoop stress
j
j
σ
σ
i
th
j
di
C
σ thj
σ thj max σ ij
ITERATIVE BOUNDARY DEFORMATION
(constraint: only material removal allowed, multi-peak stress minimisation)
S2
e
Vertical
constraint
line
y
H/2
h
x
w
H/2
W
S2
•
•
•
Initial 2:1 elliptical hole
2:1 Optimal hole
21% reduction in peak stress compared to an initial elliptical hole
43% reduction in peak stress compared to a circular hole
Greater stress reduction with increasing hole aspect ratio
INITIAL AND FINAL STRESS
(constraint: only material removal allowed, multi-peak stress minimisation)
S2
Initial 2:1 ellipse
4
e
s1
3
y
H/2
h
x
w
1
0
H/2
W
-1
s2
-2
0
S2
s1
s3
2
Stress
Vertical
constraint
line
Optimal hole
20
40
s4
60
80
100
% arc length around boundary
Uniform stress regions are very flat, indicating true optimality.
(20% & 6% reduction in maximum +ve peaks, 22% reduction in –ve peaks)
FE Implementation
Only move nodes on one edge of a mesh generation block (B1, B2)
New element mesh created for each iteration (avoids mesh distortion)
It is also useful to maintain relative spacing of boundary nodes.
BENEFIT FOR INSPECTION INTERVAL
Inspection interval (hours)
8000
6000
4000
estimated inspection
interval trend
new
position
2000
current
position
0
1000
2000
3000
4000
Peak von Mises stress (MPa)
5000
TOOLING FOR RE-WORK
Electrode plate
Finishing
electrode
Roughing
electrode
Locating probe
– optimal reworks
manufactured into a
test wing by electro
discharge machining
NEXT MOST CRITICAL LOCATIONS
FFVH 14
FFVH 13
FFVH 11
FFVH 12
WING DAMAGE ENHANCEMENT
– Static tests are used to validate FE model
– Cyclic test results are interpreted for Durability and Damage Tolerance
BUCKLING ANALYSIS OF WING PIVOT FITTING
CPLT Load:
Blueprint configuration
REPAIR SUBSTANTIATION
REPAIR SUBSTANTIATION REQUIREMENTS
• Validation of design analysis by an independent
method
• Validation testing of a representative test article for
Static strength
Durability and Damage Tolerance
Proper accounting for environmental effects
LOAD FLOW & LOAD TRANSFER
CRACK LOCATION
LOCAL GEOMETRY
FRACTOGRAPHY OF CRACKING
PANEL SPECIMEN
BOX SPECIMEN
BOX SPECIMEN TESTING
FATIGUE CRACK GROWTH COMPARISON
Panel specimen crack growth
under cycle-by-cycle spectrum loads
80
Crack length
tip-to-tip (mm)
75
70
UNPATCHED
PANELS
65
60
PATCHED
PANELS
55
50
45
40
0
10,000
20,000
30,000
40,000
50,000
Equivalent flight hours
RESIDUAL STRENGTH RESULTS
D.U.L
D.L.L
Unpatched, Uncracked
Unpatched, Cracked, RT
2a = 40 mm
Patched, Cracked, RT
2a = 40 mm
Patched, Cracked, +110C
2a = 40 mm
Patched, Cracked, -40C
2a = 40 mm
Patched, Cracked After
30,000 Flight Hours
2a = 63 mm
0
50
100
150
200
250
300
FAILURE STRESS (MPa)
350
400
450
FEATURES OF MECHANICAL REPAIRS
Repair
Filler
Stringer
Skin
New Crack
Doubler
New stress concentrations at
fastener holes
Difficult to detect cracks under
patch
Low patching efficiency,
cannot patch cracks
May damage hidden
components
May cause corrosion problems
Simple to apply - no new
technology
FEATURES OF BONDED REPAIRS
Repair
Stringer
Original Crack
Skin
Doubler
No damage to structure or
hidden components
High patching efficiency, can
repair cracks
Can detect cracking under
boron/epoxy patch
Minimises stress
concentrations
No corrosion problems
Simple/effective surface
treatment essential